{"id":3906,"date":"2022-03-16T17:50:08","date_gmt":"2022-03-16T17:50:08","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/?post_type=chapter&p=3906"},"modified":"2022-03-17T05:15:22","modified_gmt":"2022-03-17T05:15:22","slug":"instructor-guide-corequisite-support-interpreting-the-mean-and-median-of-a-dataset","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/chapter\/instructor-guide-corequisite-support-interpreting-the-mean-and-median-of-a-dataset\/","title":{"raw":"Instructor Guide Interpreting the Mean and Median of a Dataset: Corequisite Support","rendered":"Instructor Guide Interpreting the Mean and Median of a Dataset: Corequisite Support"},"content":{"raw":"While this support activity is designed for a face-to-face, synchronous delivery, it should be noted that supporting text and interactive examples have been embedded in the digital assignment page to assist asynchronous or hybrid course delivery and to be made more accessible to students performing make-up work.<\/em>\r\n

Suggested instructional plan for synchronous active-learning<\/h2>\r\nUse this corequisite support activity as a way to gauge students\u2019 abilities to calculate the\u00a0mean and median of a dataset both by hand and using technology. Even though\u00a0students have been calculating these quantities using technology before this point,\u00a0calculating them by hand may make it easier for students to see the effect of changing\u00a0one or more data values on the mean and median. Students will need to understand the\u00a0computations behind these measures of center in upcoming preview assignments and\u00a0in-class activities, and they will need to be able to use technology to do so in upcoming\u00a0practice assignments.\r\n\r\nStudents will be asked to verify their computations using the Describing and Exploring\u00a0Quantitative Variables tool at https:\/\/dcmathpathways.shinyapps.io\/EDA_quantitative\/<\/a>.\r\n\r\nConsider having students approach this task in small groups. If students don\u2019t have\u00a0access to computers or phones, consider convening the class briefly to demonstrate the\u00a0use of technology on the overhead mid-class.\u00a0As you get into computation of the median by hand, students may be confused when\u00a0there appears to be no \u201cmiddle\u201d value of the dataset (since the dataset has an even\u00a0number of observations). Help them to see that they must find the mean of the\u00a0innermost values and prompt them to think about why we can consider this to be the\u00a0\u201cmiddle\u201d value.\r\n\r\nStudents may struggle interpreting the median and the mean. Consider giving smaller\u00a0examples with values that are easier to compute and demonstrate visually how we find\u00a0the median.\r\n\r\nNote that, for asynchronous or hybrid delivery, or for those working alone, students are provided just-in-time refreshers for how to calculate the median of an even-numbered set of values in the digital text as well as how to calculate mean and define both.\u00a0<\/em>","rendered":"

While this support activity is designed for a face-to-face, synchronous delivery, it should be noted that supporting text and interactive examples have been embedded in the digital assignment page to assist asynchronous or hybrid course delivery and to be made more accessible to students performing make-up work.<\/em><\/p>\n

Suggested instructional plan for synchronous active-learning<\/h2>\n

Use this corequisite support activity as a way to gauge students\u2019 abilities to calculate the\u00a0mean and median of a dataset both by hand and using technology. Even though\u00a0students have been calculating these quantities using technology before this point,\u00a0calculating them by hand may make it easier for students to see the effect of changing\u00a0one or more data values on the mean and median. Students will need to understand the\u00a0computations behind these measures of center in upcoming preview assignments and\u00a0in-class activities, and they will need to be able to use technology to do so in upcoming\u00a0practice assignments.<\/p>\n

Students will be asked to verify their computations using the Describing and Exploring\u00a0Quantitative Variables tool at https:\/\/dcmathpathways.shinyapps.io\/EDA_quantitative\/<\/a>.<\/p>\n

Consider having students approach this task in small groups. If students don\u2019t have\u00a0access to computers or phones, consider convening the class briefly to demonstrate the\u00a0use of technology on the overhead mid-class.\u00a0As you get into computation of the median by hand, students may be confused when\u00a0there appears to be no \u201cmiddle\u201d value of the dataset (since the dataset has an even\u00a0number of observations). Help them to see that they must find the mean of the\u00a0innermost values and prompt them to think about why we can consider this to be the\u00a0\u201cmiddle\u201d value.<\/p>\n

Students may struggle interpreting the median and the mean. Consider giving smaller\u00a0examples with values that are easier to compute and demonstrate visually how we find\u00a0the median.<\/p>\n

Note that, for asynchronous or hybrid delivery, or for those working alone, students are provided just-in-time refreshers for how to calculate the median of an even-numbered set of values in the digital text as well as how to calculate mean and define both.\u00a0<\/em><\/p>\n","protected":false},"author":25777,"menu_order":15,"template":"","meta":{"_candela_citation":"[]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-3906","chapter","type-chapter","status-publish","hentry"],"part":3890,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/3906","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/users\/25777"}],"version-history":[{"count":5,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/3906\/revisions"}],"predecessor-version":[{"id":4081,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/3906\/revisions\/4081"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/parts\/3890"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/3906\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/media?parent=3906"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapter-type?post=3906"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/contributor?post=3906"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/license?post=3906"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}